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2442141999 = 3211411075623
BaseRepresentation
bin1001000110010000…
…0010000100101111
320022012022200000200
42101210002010233
520000142020444
61042155324543
7114342602343
oct22144020457
96265280020
102442141999
111043586480
12581a50753
132cbc5244b
141924ad623
15e45ec969
hex9190212f

2442141999 has 48 divisors (see below), whose sum is σ = 3979632384. Its totient is φ = 1430236800.

The previous prime is 2442141979. The next prime is 2442142007. The reversal of 2442141999 is 9991412442.

It is a happy number.

2442141999 is a `hidden beast` number, since 2 + 442 + 14 + 199 + 9 = 666.

It is not a de Polignac number, because 2442141999 - 25 = 2442141967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442141979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431502 + ... + 437124.

It is an arithmetic number, because the mean of its divisors is an integer number (82909008).

Almost surely, 22442141999 is an apocalyptic number.

2442141999 is a deficient number, since it is larger than the sum of its proper divisors (1537490385).

2442141999 is a wasteful number, since it uses less digits than its factorization.

2442141999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5785 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2442141999 is about 49418.0331356884. The cubic root of 2442141999 is about 1346.6569315281.

It can be divided in two parts, 2442 and 141999, that added together give a palindrome (144441).

The spelling of 2442141999 in words is "two billion, four hundred forty-two million, one hundred forty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 41 99 107 123 321 369 451 963 1177 1353 3531 4059 4387 5623 10593 13161 16869 39483 48257 50607 61853 144771 185559 230543 434313 556677 601661 691629 1804983 2074887 2535973 5414949 6618271 7607919 19854813 22823757 24668101 59564439 74004303 222012909 271349111 814047333 2442141999